| 线性交叉规划的等价形式 |
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| 引用本文： | 马建华,丁梅.线性交叉规划的等价形式[J].运筹学学报,2006,10(3):121-125. |
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| 作者姓名： | 马建华 丁梅 |
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| 作者单位： | 1. 山东经济学院信息管理学院,山东,济南,250014
2. 山东电力研究院,山东,济南,250002 |
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| 摘 要： | 本文利用参数规划的逆问题考虑交叉规划与多目标规划的关系,把交叉规划转变为部分同变量规划组,再把部分同变量规划组转化为一个多目标规划,并说明了交叉规划的均衡解与多目标规划的最优解的关系．
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| 关 键 词： | 运筹学 交叉规划 多目标规划 部分同变量规划组 参数规划 逆问题 |
| 收稿时间： | 2001-05-22 |
| 修稿时间： | 2001年5月22日 |
The Equivalence Programming of Linear Interaction Programming |
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| Ma Jianhua,Ding Mei.The Equivalence Programming of Linear Interaction Programming[J].OR Transactions,2006,10(3):121-125. |
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| Authors: | Ma Jianhua Ding Mei |
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| Institution: | School of Information Management, Shandong Economic University, Jinan 250014, Shandong, China; Shandong Electric Power Research Institute, Jinan 250002, Shandong, China |
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| Abstract: | The relation of interaction programming and multi-objective programming is con- sidered by using the converse problem of parametric programming.First the interaction programming is translated into PGSVP(the programs group with the same variable partly).Furthermore the PGSVP is translated into a multi-objective programming,and the relation between the equilibrium solution of interaction programming and the opti- mum solution of multi-objective programming is given. |
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| Keywords: | Operations research interaction programming multi-objective programming PGSVP parametric programming converse problem |
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